Abstract
A model for the production of quarkonium states in the mid-rapidity regionat the RHIC and LHC energy range is presented which explores well understoodproperties of quantum chromodynamics only. An increase of thequarkonium hadronization timewith the initial energy leads to a gradual change of the most importantphenomena from fixed target to collider energies. We evaluate nucleareffects in the quarkonium production due to medium modification of themomentum distribution of the heavy quarks produced in the hardinteractions, i.e. due to the broadening of the transverse momentumdistribution. Other nuclear effects, i.e. nuclear shadowing and partonenergy loss, are also evaluated.
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